In a study on the dissemination of fake news, users of a social network were classified into two groups: ''susceptible'' and 'not susceptible'. Suppose that in the social network considered in the study, the probability of a randomly drawn user being susceptible is 0.5. In this social network, the probability of a user propagating fake news is 0.9, if the user is "susceptible". Otherwise, this probability is 0.15. Based on this data, calculate the probability: Note: All final answers must be rounded to 4 decimal places of approximation, but do not do any rounding in the middle stages of the solution. a) the probability of a randomly drawn social network user propagating fake news. b) the conditional probability that a randomly drawn user is susceptible, given that he propagates fake news. c) the conditional probability that the randomly drawn user is "not susceptible", since he does not propagate fake news.
In a study on the dissemination of fake news, users of a social network were classified into two groups: ''susceptible'' and 'not susceptible'. Suppose that in the social network considered in the study, the
Note: All final answers must be rounded to 4 decimal places of approximation, but do not do any rounding in the middle stages of the solution.
a) the probability of a randomly drawn social network user propagating fake news.
b) the conditional probability that a randomly drawn user is susceptible, given that he propagates fake news.
c) the conditional probability that the randomly drawn user is "not susceptible", since he does not propagate fake news.
Solution:
From the given information,
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